Years back, the airline terms were:
Non-stop: 1 segment to get pax to their destination.
Direct: 1 stop on the same plane to get pax to their destination.
2 Stop: 2 stops on the same plane to get pax to their destination.
Connection: 1 stop on 2 different planes to get pax to their destination.
Double Connection: 2 stops on 3 different planes to get pax to their destination.
Later, the term "Direct with a change of planes" came about. This sounds a lot like a connection to me.
Also, to me, the term "direct" seems to purposly deceive the potential customer.